17 citations · 69 across the 12 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.DS2015
Periodic domains of quasiregular maps
Daniel A. Nicks, David J. Sixsmith
We consider the iteration of quasiregular maps of transcendental type from to . We give a bound on the rate at which the iterates of such a map can esc…
math.DS2015★ 11 cited
Hollow quasi-Fatou components of quasiregular maps
Daniel A. Nicks, David J. Sixsmith
We define a quasi-Fatou component of a quasiregular map as a connected component of the complement of the Julia set. A domain in is called hollow if it has a bounded…
math.CV2015★ 17 cited
Hyperbolic entire functions and the Eremenko-Lyubich class: Class or not class ?
Lasse Rempe-Gillen, Dave Sixsmith
Hyperbolicity plays an important role in the study of dynamical systems, and is a key concept in the iteration of rational functions of one complex variable. Hyperbolic systems hav…